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| ON PSEUDO-HOLOMORPHIC CURVES IN COMPLEXGRASSMANNIANS |
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Citation： |
SHEN Yibing,DONG Yuxing.ON PSEUDO-HOLOMORPHIC CURVES IN COMPLEXGRASSMANNIANS[J].Chinese Annals of Mathematics B,1999,20(3):341~350 |
| Page view： 1000
Net amount： 721 |
Authors： |
SHEN Yibing; DONG Yuxing |
Foundation： |
National Natural Science Foundation of China and the Zhejiang Provincial
Natural Science Foundation of China |
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| Abstract： |
Further geometry and topology for pseudo-holomorphic curves
in complex Grassmannians $G_m(\Bbb C^N)$ are studied. Some curvature pinching
theorems for pseudo-holomorphic curves with constant K\"ahler angles in $
G_m(\Bbb C^N)$
are obtained, so that the corresponding results for
pseudo-holomorphic curves in complex projective spaces are generalized. |
Keywords： |
Pseudo-holomorphic curve, Complex Grassmannian,
K\"ahler angle,Curvature pinching |
Classification： |
53C42, 53C55 |
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